By definition rhombus is a quadrilateral whose all four sides are of equal length.GmatKiss wrote:Is quadrilateral ABCD a rhombus?
(1) Line segments AC and BD are perpendicular bisectors of each other.
(2) AB = BC = CD = AD
Kites do have diagonals that are perpendicular to each other but not they are not bisectors of each other.[email protected] wrote:...But even other quadrilaterals like Kite and square have diagonals that are perpendicular bisectors
All squares are by definition rhombuses.[email protected] wrote:But that is true for square as well
SQAURE is a ROMBUS and therefore IMO C[email protected] wrote:According to me the correct answer is E.
Statement 1: says that the diagonals are perpendicular bisectors. But even other quadrilaterals like Kite and square have diagonals that are perpendicular bisectors. Hence statement 1 alone is insufficient.
Statement 2: says that all the sides are equal. But that is true for square as well. Hence statement 2 alone is also insufficient.
Combined: Kite gets canceled out and two such quadrilaterals exist. They are square and rhombus.
Hence even both statements combined do not give the answer. Hence the correct answer is E.
Hope this is the correct answer ....
Thanks. I agree. Anurag is CORRECT - I was wrong.[email protected] wrote:Patanjali! all sides of a Rectangle are not equal... And statement 2 of our question, says that
AB = BC = CD = AD.
This is what it is...
But a square is a rhombus was a new point for me so got stuck...
